{"product_id":"linear-algebra-with-python-and-ai-9789819827008","title":"Linear Algebra with Python and AI","description":"\u003cp\u003eThis book is an engaging and accessible introduction to linear algebra, ideal for learners and educators across mathematics, data science, engineering, and the physical sciences. It begins with core topics such as systems of linear equations, matrix operations, and reduced row-echelon form (RREF), and builds a coherent pathway toward advanced concepts such as eigenvalues, inner product spaces, and singular value decomposition (SVD). With a clear pedagogical structure and consistent notation, the text supports both conceptual understanding and practical application.\u003c\/p\u003e\u003cp\u003eWhat sets this textbook apart is its seamless integration of theory and computation. Python (NumPy\/SymPy) is used throughout to implement algorithms, visualize geometric ideas, and connect abstract mathematics to real-world problems. Carefully designed TikZ diagrams enhance geometric intuition, while applications such as least squares, data compression, and principal component analysis (PCA) demonstrate the relevance of linear algebra in modern fields. Integrated coding examples and computational tools encourage hands-on exploration and foster algorithmic thinking.\u003c\/p\u003e\u003cp\u003eWhether you're mastering Gaussian elimination, exploring the rank-nullity theorem, or experimenting with Python notebooks, Linear Algebra with Python and AI offers a unified and forward-looking approach. With its dual emphasis on mathematical rigor and computational practice, this book equips students with the tools to navigate the mathematical foundations of today's data-driven world.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003eAbout the Author\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eFoundations of Linear Algebra:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eLinear Systems and Matrices\u003c\/li\u003e\n\u003cli\u003eAlgebra of Matrices\u003c\/li\u003e\n\u003cli\u003eElementary Matrices\u003c\/li\u003e\n\u003cli\u003eDeterminants and Applications\u003c\/li\u003e\n\u003cli\u003eEigenvalues and Eigenvectors\u003c\/li\u003e\n\u003cli\u003eDiagonalization of Matrices\u003c\/li\u003e\n\u003cli\u003eThe Cayley–Hamilton Theorem and Applications\u003c\/li\u003e\n\u003cli\u003eFunction of a Square Matrix: The Matrix Exponential\u003c\/li\u003e\n\u003cli\u003eMatrices in \u003ci\u003eBlock\u003c\/i\u003e Form\u003c\/li\u003e\n\u003cli\u003eSymmetric Matrices\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eLinear Transformations and Applications:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eVector Spaces\u003c\/li\u003e\n\u003cli\u003eLinear Independence, Basis, and Dimension\u003c\/li\u003e\n\u003cli\u003eLinear Transformations on Vector Spaces\u003c\/li\u003e\n\u003cli\u003eIsomorphisms and Nonsingular Linear Transformations\u003c\/li\u003e\n\u003cli\u003eInner Product Spaces\u003c\/li\u003e\n\u003cli\u003eOrthogonal Complements\u003c\/li\u003e\n\u003cli\u003eAdjoint Transformations\u003c\/li\u003e\n\u003cli\u003eQuadratic Forms\u003c\/li\u003e\n\u003cli\u003eSingular Value Decomposition (SVD)\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cb\u003eReadership:\u003c\/b\u003e This book is ideal for advanced undergraduates and early graduate students in mathematics, data science, engineering, physics, and economics, as well as courses in linear algebra and mathematics for AI. It may also appeal to practitioners (data analysts, engineers, quantitative scientists) seeking a refresher as well as independent learners transitioning to machine learning and AI.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"ThinkEDU","offers":[{"title":"Default Title","offer_id":60814862680350,"sku":"9789819827008","price":59.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0800\/4435\/9966\/files\/1024_9a339d63-8136-4b09-a22c-099e5e66c33c.jpg?v=1793745474","url":"https:\/\/thinkedu.com\/products\/linear-algebra-with-python-and-ai-9789819827008","provider":"ThinkEDU","version":"1.0","type":"link"}